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Finding the Fourth Proportional to 18,885.16, 28,302.21 and 7,192

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Solution

The fourth proportional to 18,885.16, 28,302.21 and 7,192 is: 10,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,885.16 : 28,302.21 = 7,192 : x
  2. Step 2: Convert to fraction form
    18,885.16/28,302.21 = 7,192/x
  3. Step 3: Cross multiply
    18,885.16x = 28,302.21 × 7,192
  4. Step 4: Simplify right side
    18,885.16x = 203,549,494.32
  5. Step 5: Solve for x
    x = 203,549,494.32/18,885.16
  6. Step 6: Final answer
    x = 10,778.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.